Is the PR random reviewer selection actually random?

We're seeing some cagey results from our so-called #de-pr-roulette channel. It necessitates diving in to see if this part of the internet is wandering haplessly through the bitfield, confused and entropic.

Let's run some simulations!

We have simulated enough outcomes to know the population distribution.

Let's calculate the population mean and stdev and visualize the distribution to understand it better.

image.png

So what is the actual probability of the sample variance being this large?

While it seems unlikely that one person would be selected so many times given a random distribution (leading to a sample variance of 11+), when we look at the distribution of variances it appears there are at least a few that have this high of variances.

So there's a small nonzero chance that the distribution would look like this.